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| 摘要: |
| 矩阵的奇异值是矩阵分析中的重要课题.其中矩阵奇异值的下界估计在许多领域中也是非常重要的,因此矩阵奇异值的下界估计得到了普遍的关注.对奇异值的下界做了进一步的研究,改进了黄廷祝的"矩阵最小奇异值下界的估计"一文的定理1以及定理2,并给出了相应的证明和数值算例. |
| 关键词: 最小奇异值 分块矩阵 Hermite半正定矩阵 |
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| One Estimate about Lower Bound for the Smallest Singular Value of Matrices |
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ZHANG Cong; MA Li-bin; KUANG De-sheng
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| Abstract: |
| Singular value of matrices is an important topic in matrix research,among which,the lower bound estimate of singular value of matrices is important in many fields,as a result,the lower bound estimate of singular value of matrices is universally focused.This paper makes further research on the lower bound of singular value and improves Theorem 1 and Theorem 2 of Huang Tingzhu s Lower Bounds Estimate for the Smallest Singular Value of Matrices and gives corresponding proof and numerical examples. |
| Key words: the smallest singular value block matrix Hermite positive semidefinite matrix |
